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djverab [1.8K]
2 years ago
8

What is the slope of the line that goes through the points (-4, 5) and (6, 2)?​

Mathematics
1 answer:
muminat2 years ago
8 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{-3/10}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{Points (-4, 5) and (6, 2)}

Find:  \textsf{Slope of the line that goes between the points}

Solution:  In order to determine the slope of a line we need to follow the slope formula to determine it.  Just plug in the values and simplify.

<u>Plug in the values</u>

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{2 - 5}{6 - (-4)}

<u>Simplify the expression</u>

  • m = \frac{-3}{6 + 4}
  • m = -\frac{3}{10}

Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.

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